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\providecommand{\natexlab}[1]{#1}

\bibitem[{\em Benjamin\/}(1972)]{MR0338584}
T.~B. Benjamin, {\em The stability of solitary waves\/}, Proc. Roy. Soc.
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\bibitem[{\em Bona\/}(1975)]{MR0386438}
J.~Bona, {\em On the stability theory of solitary waves\/}, Proc. Roy. Soc.
  London Ser. A, 344 (1975), pp. 363--374.

\bibitem[{\em Kato\/}(1983)]{MR759907}
T.~Kato, {\em On the {C}auchy problem for the (generalized) {K}orteweg-de
  {V}ries equation\/}, in {\em Studies in applied mathematics\/}, vol.~8 of
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\bibitem[{\em Albert et~al.\/}(1987)]{MR887857}
J.~P. Albert, J.~L. Bona, \& D.~B. Henry, {\em Sufficient conditions for
  stability of solitary-wave solutions of model equations for long waves\/},
  Phys. D, 24 (1987), pp. 343--366.

\bibitem[{\em Bona et~al.\/}(1987)]{MR897729}
J.~L. Bona, P.~E. Souganidis, \& W.~A. Strauss, {\em Stability and instability
  of solitary waves of {K}orteweg-de {V}ries type\/}, Proc. Roy. Soc. London
  Ser. A, 411 (1987), pp. 395--412.

\bibitem[{\em Grillakis et~al.\/}(1987)]{MR901236}
M.~Grillakis, J.~Shatah, \& W.~Strauss, {\em Stability theory of solitary waves
  in the presence of symmetry. {I}\/}, J. Funct. Anal., 74 (1987), pp.
  160--197.

\bibitem[{\em Weinstein\/}(1987)]{MR886343}
M.~I. Weinstein, {\em Existence and dynamic stability of solitary wave
  solutions of equations arising in long wave propagation\/}, Comm. Partial
  Differential Equations, 12 (1987), pp. 1133--1173.

\bibitem[{\em Pego \& Weinstein\/}(1994)]{MR1289328}
R.~L. Pego \& M.~I. Weinstein, {\em Asymptotic stability of solitary waves\/},
  Comm. Math. Phys., 164 (1994), pp. 305--349.

\bibitem[{\em Martel \& Merle\/}(2001)]{MR1829643}
Y.~Martel \& F.~Merle, {\em Instability of solitons for the critical
  generalized {K}orteweg-de {V}ries equation\/}, Geom. Funct. Anal., 11 (2001),
  pp. 74--123.

\bibitem[{\em Comech \& Pelinovsky\/}(2003)]{MR1995870}
A.~Comech \& D.~Pelinovsky, {\em Purely nonlinear instability of standing waves
  with minimal energy\/}, Comm. Pure Appl. Math., 56 (2003), pp. 1565--1607.

\bibitem[{\em Comech et~al.\/}(2006)]{kdvform-sima}
A.~Comech, S.~Cuccagna, \& D.~Pelinovsky, {\em Nonlinear instability of a
  critical traveling wave in the generalized {K}orteweg -- de {V}ries
  equation\/}, SIAM Journal of Mathematical Analysis,  (2006), accepted. {MPI}
  Preprint Nr. 67/2006, {\tt\small
  http://www.mis.mpg.de/preprints/2005/prepr2006\_67.html\,}.

\end{thebibliography}